Question

Find the value of $y$ if the line passing through the points $(3,y)$ and $(2,7)$ is parallel to the line passing through the points $(-1,4)$ and $(0,6)$.$\left[3Marks\right]$

Answer 1

We know that, the slope of the parallel lines are equal. Hence, we must have
$m_1=m_2$, where $m_1$ is the slope of the line passing through $(3,y)$ and $(2,7)$ and $m_2$ is the slope of the line passing through $(-1,4)$ and $(0,6)$.$\left[1Mark\right]$

$\Rightarrow \frac{7-y}{2-3}=\frac{6-4}{0+1}\Rightarrow \frac{7-y}{-1}=\frac{2}{1}$
$\Rightarrow y=9$$\left[2Marks\right]$